Eldar do not hold up under a hail of fire and If an elite force run out of bodies quickly if you kill a unit or 2 a turn.... (including vehicles).

Put the sms back in your force, elar now have much shoot and hide(bikes/spears) or things that will hide and then spring traps (viper WW etc) so a decent ammount of sms will pepper the unwary hidden approach....

As Soji said, make sure you have a ton of Missile Pods, these will help you tremendously in taking out his skimmers. They can take a beating, but massed Str 7 shots hitting 75%+ of the time should do the trick. I would also advise Mech, this will help to cancel out their mobility advantage.